The carvings at Newgrange are separated into ten categories consisting of curvilinear forms like circles, spirals, arcs, serpentiforms and dot-in-circles as well as rectilinear examples such as chevrons, lozenges, radials, parallel lines and offsets.

The carvings are separated into 10 categories consisting of curvilinear forms like circles, spirals, arcs, serpentiforms and dot-in-circles as well as rectilinear examples such as chevrons, lozenges, radials, parallel lines and offsets.

It is characterized by ideas of fragmentation, an interest in manipulating ideas of a structure's surface or skin, and non-rectilinear shapes which serve to distort and dislocate some of the elements of architecture, such as structure and envelope.

They are also usually rectilinear and the interiors consist of at least one cella, which contained a cult statue or image.

The first two examples are very similar to round Greek temples, while the Pantheon's plan includes a deep colonnaded porch that gives one the illusion of entering a normal rectilinear temple until you walk inside.

IBM Plaza (right), by Ludwig Mies van der Rohe, is a later example of the clean rectilinear lines and glass of the International Style, whereas Marina City, (left), by his student Bertrand Goldberg, reflects a more sculptural Mid-Century Modern aesthetic.

In fact in England it remained popular for into the period when new architectural styles had become fashionable in other parts of Europe.
.The English gothic style is often divided into three periods 1) Early English (c. 1180-1275), 2) Decorated (c. 1275-1380), 3) Perpendicular, or as some have called it Rectilinear (c. 1380-1520).

Tiwanaku art consisted of legible, outlined figures depicted in curvilinear style with a naturalistic manner, while Wari art used the same symbols in a more abstract, rectilinear style with a militaristic manner.